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10132244130 = 235475970969
BaseRepresentation
bin10010110111110110…
…11100011010100010
3222011010121022222010
421123323130122202
5131222323303010
64353225053350
7506041440231
oct113373343242
928133538863
1010132244130
11432a429a88
121b69327256
13c56210538
146c1948b18
153e47d1620
hex25bedc6a2

10132244130 has 32 divisors (see below), whose sum is σ = 24322838400. Its totient is φ = 2701325952.

The previous prime is 10132244123. The next prime is 10132244167. The reversal of 10132244130 is 3144223101.

It is a super-2 number, since 2×101322441302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132244097 and 10132244106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107286 + ... + 178254.

It is an arithmetic number, because the mean of its divisors is an integer number (760088700).

Almost surely, 210132244130 is an apocalyptic number.

10132244130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132244130 is an abundant number, since it is smaller than the sum of its proper divisors (14190594270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10132244130 is a wasteful number, since it uses less digits than its factorization.

10132244130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75738.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10132244130 its reverse (3144223101), we get a palindrome (13276467231).

The spelling of 10132244130 in words is "ten billion, one hundred thirty-two million, two hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 4759 9518 14277 23795 28554 47590 70969 71385 141938 142770 212907 354845 425814 709690 1064535 2129070 337741471 675482942 1013224413 1688707355 2026448826 3377414710 5066122065 10132244130